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Finding the Fourth Proportional to 22,582.32, 31,162.04 and 12,509.82

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Solution

The fourth proportional to 22,582.32, 31,162.04 and 12,509.82 is: 17,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.32 : 31,162.04 = 12,509.82 : x
  2. Step 2: Convert to fraction form
    22,582.32/31,162.04 = 12,509.82/x
  3. Step 3: Cross multiply
    22,582.32x = 31,162.04 × 12,509.82
  4. Step 4: Simplify right side
    22,582.32x = 389,831,511.23
  5. Step 5: Solve for x
    x = 389,831,511.23/22,582.32
  6. Step 6: Final answer
    x = 17,262.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.